Evaluate tan(45)+tan(30)

We first need to simplify the expression removing parenthesesSimplify n(45): Distribute the n to each term in (45)n * 45 = (1 * 45)n = 45nOur Total expanded term is 45n

Simplify n(30): Distribute the n to each term in (30)n * 30 = (1 * 30)n = 30nOur Total expanded term is 30n

Our updated term to work with is ta45n + ta30n

Evaluate the ta45 terms:ta45 ← There is only one ta45 term

Evaluate the n terms:n + n(1 + 1)n2n

Evaluate the ta30 terms:ta30 ← There is only one ta30 term

Combining all like terms, we get:2n + ta

Analyze the 2 terms of the polynomial 2n + ta

Analyze Term 1Term 1 is 2nOur coefficient/constant is the number our term begins which is 2Our variable is the letter which is nNo exponent exists for this termAnalyze Term 2Term 2 is tSince there is no coefficient before our variable, (term does not start with a number), our coefficient is 1Our variable is the letter which is tNo exponent exists for this termDetermine the Degree of the Polynomial: